Polar Coordinates Example 1

The video tutorial explains how to solve a polar coordinates problem involving a plane tracked by radar. It covers setting up equations for the plane's path, finding its position, and determining the velocity vector's angle and components. The solution involves using the polar coordinates formula to calculate the plane's speed.

What is the value of theta at the instant shown in the video?

Explain how to find the speed of the plane using the given information.

What is the equation of the line where the plane is located?

How do you find the intersection of the line and the parabola?

What are the two roots of the quadratic equation derived from the intersection?

How do you determine the y-coordinate of the plane at the instant?

What is the radial distance (r) from the radar to the plane?

Describe how to find the gradient of the curve at the point of interest.

What is the angle of the velocity vector from the horizontal?

Explain the process of deconstructing the velocity vector into radial and theta components.